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Complex Dynamics: Twenty-Five Years after the Appearance of the Mandelbrot Set

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Edited by Robert L. Devaney; Linda Keen

Chaotic behavior of (even the simplest) iterations of
polynomial maps of the complex plane was known for almost one hundred years due
to the pioneering work of Fatou, Julia, and their contemporaries. However, it
was only twenty-five years ago that the first computer generated images
illustrating properties of iterations of quadratic maps appeared. These images
of the so-called Mandelbrot and Julia sets immediately resulted in a strong
resurgence of interest in complex dynamics. The present volume, based on the
talks at the conference commemorating the twenty-fifth anniversary of the
appearance of Mandelbrot sets, provides a panorama of current research in this
truly fascinating area of mathematics.

Readership

Graduate students and research mathematicians interested in complex
analysis and dynamical systems.

Chaotic behavior of (even the simplest) iterations of
polynomial maps of the complex plane was known for almost one hundred years due
to the pioneering work of Fatou, Julia, and their contemporaries. However, it
was only twenty-five years ago that the first computer generated images
illustrating properties of iterations of quadratic maps appeared. These images
of the so-called Mandelbrot and Julia sets immediately resulted in a strong
resurgence of interest in complex dynamics. The present volume, based on the
talks at the conference commemorating the twenty-fifth anniversary of the
appearance of Mandelbrot sets, provides a panorama of current research in this
truly fascinating area of mathematics.